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A Barycentric Interpolation Collocation Method for Linear Nonlocal Boundary Value Problems

Author

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  • Dan Tian
  • Weiya Li
  • Cec Yulan Wang

Abstract

This paper is devoted to the numerical treatment of a class of higher-order multi-point boundary value problem-s(BVPs). The method is proposed based on the Lagrange interpolation collocation method, but it avoids thenumerical instability of Lagrange interpolation. Numerical results obtained by present method compare with othermethods show that the present method is simple and accurate for higher-order multi-point BVPs, and it is eectivefor solving six order or higher order multi-point BVPs.

Suggested Citation

  • Dan Tian & Weiya Li & Cec Yulan Wang, 2016. "A Barycentric Interpolation Collocation Method for Linear Nonlocal Boundary Value Problems," Modern Applied Science, Canadian Center of Science and Education, vol. 10(11), pages 140-140, November.
    • Handle: RePEc:ibn:masjnl:v:10:y:2016:i:11:p:140
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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